1. Linear Inequalities and Systems of Linear Inequalities

2. Graphing Linear Inequalities
Determine method to graph line
Slope Intercept Form (y-intercept & slope)
Point Slope Form (point & slope)
Standard Form (x- and y-intercepts)
Vertical Line ( x=3) or Horizontal Line (y=5)
Solid Line vs. Dashed Line
Determine which half plane to shade by checking a point
Solution includes infinite # of points

3. Ex#1: Graph

4. Ex#2: Graph

5. Ex#3: Graph

6. System of Linear Inequalities
Graph each linear inequality
Solution Set includes all points in the intersection of the two shaded regions
Check region borders
included in solution or not

7. Ex#4: Graph the system:

8. Ex#5: Graph the system:

9. Ex#6: Graph the system:

10. Points to Remember Graphing methods Dashed vs. Solid Line
Slope intercept
Using Intercepts
Dashed vs. Solid Line
Shade by testing a point
(0,0) is a great point to use
Intersection of shaded regions includes all solutions to system of inequalities
No intersection means there are no solution points.